Advances In Differential Equations And Mathematical Physics


Advances In Differential Equations And Mathematical Physics
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Advances In Differential Equations And Mathematical Physics


Advances In Differential Equations And Mathematical Physics
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Author : Yulia E. Karpeshina
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Advances In Differential Equations And Mathematical Physics written by Yulia E. Karpeshina and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Differential equations categories.


This volume presents the proceedings of the 9th International Conference on Differential Equations and Mathematical Physics. It contains 29 research and survey papers contributed by conference participants. The conference provided researchers a forum to present and discuss their recent results in a broad range of areas encompassing the theory of differential equations and their applications in mathematical physics. Papers in this volume represent some of the most interesting results and the major areas of research that were covered, including spectral theory with applications to non-relativistic and relativistic quantum mechanics, including time-dependent and random potential, resonances, many body systems, pseudodifferential operators and quantum dynamics, inverse spectral and scattering problems, the theory of linear and nonlinear partial differential equations with applications in fluid dynamics, conservation laws and numerical simulations, as well as equilibrium and nonequilibrium statistical mechanics. The volume is intended for graduate students and researchers interested in mathematical physics.



Recent Advances In Differential Equations And Mathematical Physics


Recent Advances In Differential Equations And Mathematical Physics
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Author : International Conference on Differential Equations and Mathematical Physics (10th 2005
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Recent Advances In Differential Equations And Mathematical Physics written by International Conference on Differential Equations and Mathematical Physics (10th 2005 and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.


This book brings together both new material and recent surveys on some topics in differential equations that are either directly relevant to, or closely associated with, mathematical physics. Its topics include asymptotic formulas for the ground-state energy of fermionic gas, renormalization ideas in quantum field theory from perturbations of the free Hamiltonian on the circle, $J$-selfadjoint Dirac operators, spectral theory of Schrodinger operators, inverse problems, isoperimetric inequalities in quantum mechanics, Hardy inequalities, and non-adiabatic transitions. Excellent survey articles on Dirichlet-Neumann inverse problems on manifolds (by Uhlmann), numerical investigations associated with Laplacian eigenvalues on planar regions (by Trefethen), Snell's law and propagation of singularities in the wave equation (by Vasy), and random operators on tree graphs (by Aizenmann) make this book interesting and valuable for graduate students, young mathematicians, and physicists alike.



Advances In Differential Equations And Mathematical Physics


Advances In Differential Equations And Mathematical Physics
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Author : Eric Carlen
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Advances In Differential Equations And Mathematical Physics written by Eric Carlen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.




Trends In Partial Differential Equations Of Mathematical Physics


Trends In Partial Differential Equations Of Mathematical Physics
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Author : José F. Rodrigues
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Trends In Partial Differential Equations Of Mathematical Physics written by José F. Rodrigues and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.


This book consists of contributions originating from a conference in Obedo, Portugal, which honoured the 70th birthday of V.A. Solonnikov. A broad variety of topics centering on nonlinear problems is presented, particularly Navier-Stokes equations, viscosity problems, diffusion-absorption equations, free boundaries, and Euler equations.



Developments In Partial Differential Equations And Applications To Mathematical Physics


Developments In Partial Differential Equations And Applications To Mathematical Physics
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Author : G. Buttazzo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Developments In Partial Differential Equations And Applications To Mathematical Physics written by G. Buttazzo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


During the days 14-18 of October 1991, we had the pleasure of attending a most interesting Conference on New Developments in Partial Differential Equations and Applications to Mathematical Physics in Ferrarra. The Conference was organized within the Scientific Program celebrating the six hundredth birthday of the University of Ferrarra and, after the many stimulating lectures and fruitful discussions, we may certainly conclude, together with the numerous participants, that it has represented a big success. The Conference would not have been possible without the financial support of several sources. In this respect, we are particularly grateful to the Comitato Organizzatore del VI Centenario, the University of Ferrarra in the Office of the Rector, Professor Antonio Rossi, the Consiglio Nationale delle Ricerche, and the Department of Mathematics of the University of Ferrarra. We should like to thank all of the partlClpants and the speakers, and we are especially grateful to those who have contributed to the present volume. G. Buttazzo, University of Pisa G.P. Galdi, University of Ferrarra L. Zanghirati, University of Ferrarra Ferrarra, May 11 th, 1992 v CONTENTS INVITED LECTURES Liapunov Functionals and Qualitative Behaviour of the Solution to the Nonlinear Enskog Equation ...



Equations Of Mathematical Physics


Equations Of Mathematical Physics
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Author : A. N. Tikhonov
language : en
Publisher: Courier Corporation
Release Date : 2013-09-16

Equations Of Mathematical Physics written by A. N. Tikhonov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-16 with Mathematics categories.


Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.



Advanced Mathematics For Engineering And Science


Advanced Mathematics For Engineering And Science
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Author : Wenfang Chen
language : en
Publisher: World Scientific
Release Date : 2003

Advanced Mathematics For Engineering And Science written by Wenfang Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.


The book comprises ten chapters, Each chapter contains serveral soved problems clarifying the introduced concepts. Some of the examples are taken from the recent literature and serve to illustrate the applications in various fields of engineering and science. At the end of each chapter, there are assignment problems with two levels of difficulty. A list of references is provided at the end of the book. This book is the product of a close collaboration between two mathematicians and an engineer. The engineer has been helpful in pinpointing the problems which engineering students encounter in books written by mathematicians. Contents: Review of Calculus and Ordinary Differential Equations; Series Solutions and Special Functions; Complex Variables; Vector and Tensor Analysis; Partial Differential Equations I; Partial Differential Equations II; Numerical Methods; Numerical Solution of Partial Differential Equations; Calculus of Variations; Special Topics. Readership: Upper level undergraduates, graduate students and researchers in mathematical modeling, mathematical physics and numerical &computational mathematics.



Spectral And Scattering Theory For Ordinary Differential Equations


Spectral And Scattering Theory For Ordinary Differential Equations
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Author : Christer Bennewitz
language : en
Publisher: Springer Nature
Release Date : 2020-10-27

Spectral And Scattering Theory For Ordinary Differential Equations written by Christer Bennewitz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-27 with Mathematics categories.


This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations. Sturm–Liouville theory has applications in partial differential equations and mathematical physics. Examples include classical PDEs such as the heat and wave equations. Written by leading experts, this book provides a modern, systematic treatment of the theory. The main topics are the spectral theory and eigenfunction expansions for Sturm–Liouville equations, as well as scattering theory and inverse spectral theory. It is the first book offering a complete account of the left-definite theory for Sturm–Liouville equations. The modest prerequisites for this book are basic one-variable real analysis, linear algebra, as well as an introductory course in complex analysis. More advanced background required in some parts of the book is completely covered in the appendices. With exercises in each chapter, the book is suitable for advanced undergraduate and graduate courses, either as an introduction to spectral theory in Hilbert space, or to the spectral theory of ordinary differential equations. Advanced topics such as the left-definite theory and the Camassa–Holm equation, as well as bibliographical notes, make the book a valuable reference for experts.



Differential Equations Asymptotic Analysis And Mathematical Physics


Differential Equations Asymptotic Analysis And Mathematical Physics
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Author : Michael Demuth
language : en
Publisher: John Wiley & Sons
Release Date : 1997

Differential Equations Asymptotic Analysis And Mathematical Physics written by Michael Demuth and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.


This volume contains a collection of original papers, associated with the International Conference on Partial Differential Equations, held in Potsdam, July 29 to August 2, 1996. The conference has taken place every year on a high scientific level since 1991; this event is connected with the activities of the Max Planck Research Group for Partial Differential Equations at Potsdam. Outstanding researchers and specialists from Armenia, Belarus, Belgium, Bulgaria, Canada, China, France, Germany, Great Britain, India, Israel, Italy, Japan, Poland, Romania, Russia, Spain, Sweden, Switzerland, Ukraine, and the USA contribute to this volume. The main topics concern recent progress in partial differential equations, microlocal analysis, pseudo-differential operators on manifolds with singularities, aspects in differential geometry and index theory, operator theory and operator algebras, stochastic spectral analysis, semigroups, Dirichlet forms, Schrodinger operators, semiclassical analysis, and scattering theory.



Mathematical Physics


Mathematical Physics
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Author : S.D. Joglekar
language : en
Publisher: CRC Press
Release Date : 2007-05-30

Mathematical Physics written by S.D. Joglekar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-30 with Mathematics categories.


Mathematical Physics: Advanced Topics is the second of a two-volume set designed for senior undergraduate and postgraduate students. The author provides detailed discussion of topics including partial differential equations, ordinary differential equations, special functions including gamma, beta and Bessel functions, classical orthogonal polynomials, spherical harmonics, generalized functions, the Dirac-delta function, Fourier transforms, group theory, eigenvalues, eigenvectors, matrix representations and diagonalization of matrices, complex variables, analytic functions, Taylor and Laurent series, contour integrals, residue theorem and applications, and method of steepest descent.